Quasi singularities

Volume 82 / 2008

Vladimir M. Zakalyukin Banach Center Publications 82 (2008), 215-225 MSC: 58C27, 58K40. DOI: 10.4064/bc82-0-16


A classification of simple equivalence classes of function germs with respect to new relations is given. The equivalence relation is similar but weaker than the right action of diffeomorphisms which preserve the boundary. It is used in classifying Lagrange projections with boundary. The simple classes of function germs with respect to the equivalence similar to fibration preserving action are also discussed.


  • Vladimir M. ZakalyukinDepartment of Mathematical Sciences
    The University of Liverpool
    Liverpool L69 7ZL, UK
    Faculty of Mechanics and Mathematics
    Moscow State University
    119992, Moscow, Russia

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